Thinking Mathematically is invaluable for anyone who wishes to promote mathematical thinking in others or for anyone who has always wondered what lies at the core of mathematics. · The text has been updated with 77 fresh problems matched to curriculum topics together with links between those topics and the original problems. · There is a new preface describing the origins and uses of the first edition · New chapter correlates mathematical processes with the natural powers that every learner has already demonstrated in learning to speak.